Question

Помогите доказать равенство

Answer 1

$\frac{sin30cos \alpha +cos30sin \alpha -cos60cos \alpha +sin60sin \alpha }{sin30cos \alpha +sin \alpha cos30+cos60cos \alpha -sin60sin \alpha }$=$\frac{ \frac{1}{2}cos \alpha + \frac{ \sqrt{3} }{2}- \frac{1}{2}cos \alpha + \frac{ \sqrt{3} }{2}sin \alpha }{ \frac{1}{2}cos \alpha + \frac{ \sqrt{3} }{2}sin \alpha + \frac{1}{2}cos \alpha - \frac{ \sqrt{3} }{2}sin \alpha }$
$\frac{ \sqrt{3} sin \alpha }{cos \alpha } = \sqrt{3} tg \alpha$